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Stability in Distribution of a Stochastic Competitive Lotka-Volterra System with S-type Distributed Time Delays

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Abstract

This paper concerns the dynamics of a stochastic competitive Lotka-Volterra system with S-type distributed time delays. First, sufficient conditions for stability in mean and extinction of each population are obtained. Then, sufficient conditions for the stability in distribution of the solutions (SDS) to the system are established. Finally, some numerical simulations are provided to support the theoretical results.

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Correspondence to Sheng Wang or Linshan Wang.

Additional information

This work is supported by National Natural Science Foundation of China (No. 11771014).

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Wang, S., Hu, G. & Wang, L. Stability in Distribution of a Stochastic Competitive Lotka-Volterra System with S-type Distributed Time Delays. Methodol Comput Appl Probab 20, 1241–1257 (2018). https://doi.org/10.1007/s11009-018-9615-6

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  • DOI: https://doi.org/10.1007/s11009-018-9615-6

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